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arXiv · 1406.0314

A temporally adaptive hybridized discontinuous Galerkin method for time-dependent compressible flows

Alexander Jaust·Jochen Schütz
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Abstract

The potential of the hybridized discontinuous Galerkin (HDG) method has been recognized for the computation of stationary flows. Extending the method to time-dependent problems can, e.g., be done by backward difference formulae (BDF) or diagonally implicit Runge-Kutta (DIRK) methods. In this work, we investigate the use of embedded DIRK methods in an HDG solver, including the use of adaptive time-step control. Numerical results demonstrate the performance of the method for both linear and nonlinear (systems of) time-dependent convection-diffusion equations.

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Alexander Jaust, Jochen Schütz. 2014-06-02. A temporally adaptive hybridized discontinuous Galerkin method for time-dependent compressible flows. https://arxiv.org/abs/1406.0314

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